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Question 1 

Find the equivalent value for as shown in the diagram given the amount for and the annual interest rate i where: F = $635 and i = 2.33%.

1812_Equivalence.png

Question 2 

Find the equivalent value for as shown in the diagram where and i are given as: P = $3,247 and = 4.32%.

 2118_Equivalence1.png

Question 3 

Find the equivalent value for W as shown in the diagram given the cash flows for and the interest rate as follows:X = $1,150 & Y = $2,560 at the annual rate i = 3%.

1466_Equivalence2.png

Question 4 

Find the equivalent value for as shown in the diagram for the uniform cash-flow series where A = 300 and i = 3.4%.

877_Equivalence3.png

Question 5 

What equal annual payment series with cash flows is equivalent to the following future amount:

F = $240,000 in 14 years at 8.3% interest compounded annually?Using PMT Excel function.

359_Equivalence4.png

Question 6 

You arrange to borrow P = $24,000 for an automobile purchase. The 4-year loan will be repaid in equal, monthly payments [n= 4(12) = 48], with end-of-month payments. The annual percentage rate (APR) of 12% is compounded monthly at the rate of i= 12%/12 = 1% per month.

What is the amount of the monthly payment to nearest dollar, and

What would your payments be at 0 APR?

Question 7 

You consider selling a $36,000 van that you purchased with a 9% APR (9%/12 = 0.75% interest per month) loan for 5 years (60 months); and you wish to determine the remaining loan balance. What is the balance of the loan if you have just paid payment number 48 out of 60. (hint: since the previous payments are "sunk" costs, they do not need to be used in the balance calculation, simply determine the Present Worth of the remaining payments).

Question 8 

What value of W would be equivalent to the payments shown in the cash flow diagram below? Assume the interest rate is 25% compounded annually (use F/A & P/A factors to find W).

1535_Equivalence5.png

Question 9 

Consider the sequence of cash flows given in the table. Convert the sequence to an equivalent future value, F, over = 9 periods. The interest rate is = 6% per period.

End of period

1

2

3

4

5

6

7

8

9

Cash flow

$ 500

550

600

650

700

750

800

850

900

Question 10 

The bank is offering to finance your home loan of $200,000 at a 3% annual percentage rate (APR) for a period of 30 years.

Calculate your monthly payments (without insurance or taxes) and the amount of interestl you will pay on the first month's payment.

Question 11 

How many years will it take an investment to triple itself if the interest rate is 12.25% compounded annually?

Microeconomics, Economics

  • Category:- Microeconomics
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